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019 _a1175638996
020 _a9781400865673
_q(electronic bk.)
020 _a1400865670
_q(electronic bk.)
020 _z9780691161730
_q(hardcover ;
_qalk. paper)
020 _z0691161739
_q(hardcover ;
_qalk. paper)
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035 _a(OCoLC)906026369
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037 _a22573/ctv7grtzb
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037 _a9453365
_bIEEE
050 4 _aQA174.7.S96
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082 0 4 _a516/.1
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049 _aMAIN
100 1 _aFarris, Frank A.,
_eauthor.
_964317
245 1 0 _aCreating symmetry :
_bthe artful mathematics of wallpaper patterns /
_cFrank A. Farris.
264 1 _aPrinceton :
_bPrinceton University Press,
_c[2015]
264 4 _c�2015
300 _a1 online resource (xiii, 230 pages) :
_billustrations (chiefly color)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
504 _aIncludes bibliographical references and index.
588 0 _aPrint version record.
505 0 _aCover ; Title ; Copyright; Contents; Preface; 1 Going in Circles; 2 Complex Numbers and Rotations; 3 Symmetry of the Mystery Curve; 4 Mathematical Structures and Symmetry: Groups, Vector Spaces, and More; 5 Fourier Series: Superpositions of Waves; 6 Beyond Curves: Plane Functions; 7 Rosettes as Plane Functions; 8 Frieze Functions (from Rosettes!); 9 Making Waves; 10 Plane Wave Packets for 3-Fold Symmetry; 11 Waves, Mirrors, and 3-Fold Symmetry; 12 Wallpaper Groups and 3-Fold Symmetry; 13 Forbidden Wallpaper Symmetry: 5-Fold Rotation.
505 8 _a14 Beyond 3-Fold Symmetry: Lattices, Dual Lattices, and Waves15 Wallpaper with a Square Lattice; 16 Wallpaper with a Rhombic Lattice; 17 Wallpaper with a Generic Lattice; 18 Wallpaper with a Rectangular Lattice; 19 Color-Reversing Wallpaper Functions; 20 Color-Turning Wallpaper Functions; 21 The Point Group and Counting the 17; 22 Local Symmetry in Wallpaper and Rings of Integers; 23 More about Friezes; 24 Polyhedral Symmetry (in the Plane?); 25 Hyperbolic Wallpaper; 26 Morphing Friezes and Mathematical Art; 27 Epilog; A Cell Diagrams for the 17 Wallpaper Groups.
505 8 _aB Recipes for Wallpaper FunctionsC The 46 Color-ReversingWallpaper Types; Bibliography; Index.
520 _aThis lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry. Instead of breaking up patterns into blocks-a sort of potato-stamp method-Frank Farris offers a completely new waveform approach that enables you to create an endless variety of rosettes, friezes, and wallpaper patterns: dazzling art images where the beauty of nature meets the precision of mathematics. Featuring more than 100 stunning color illustrations and requiring only a modest background in math, Creating Symmetry begins by addressing the enigma of a simple cur.
590 _aIEEE
_bIEEE Xplore Princeton University Press eBooks Library
650 0 _aSymmetry (Mathematics)
_964318
650 0 _aSymmetry (Art)
_964319
650 6 _aSym�etrie (Math�ematiques)
_964320
650 6 _aSym�etrie (Art)
_964321
650 7 _aMATHEMATICS
_xGeometry
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_97661
650 7 _aART
_xGeneral.
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_964322
650 7 _aSymmetry (Art)
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_0(OCoLC)fst01140816
_964319
650 7 _aSymmetry (Mathematics)
_2fast
_0(OCoLC)fst01739417
_964318
655 4 _aElectronic books.
_93294
776 0 8 _iPrint version:
_aFarris, Frank A.
_tCreating symmetry.
_dPrinceton : Princeton University Press, [2015]
_z9780691161730
_w(DLC) 2014040468
_w(OCoLC)893099402
856 4 0 _uhttps://ieeexplore.ieee.org/servlet/opac?bknumber=9453365
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